Three large sheets are separated by an equal distance of 20.0cm. the left and ri

Question

Three large sheets are separated by an equal distance of 20.0cm. the left and right sheets are very thin and non-conducting, and gave uniform surface charges of +5*10-6 C/m2 and -5 *10-6 C/m2 . The middle sheet is made up of metal but had no net charge.

a) What is the electric field inside the middle sheet?

b) What is the electric field in the region between the left and the middle sheet?

c) What is the electric field between the middle and the right sheet?

d) What are the charge densities induced on the two faces of the metal sheet?

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Explanation / Answer

due to charge induction ,

the right side of metal sheet will acquire 5 *10^-6 C/m^2

and the left side will acquire - 5 *10^-6 C/m^2

a) inside the metal , as there can't be any electric field under steady state

the electric field inside the middle sheet is zero

b)

between left and middle sheet , for the electric field

electric field between left and middle sheet = (5 *10^-6 - 5 *10^-6 + 5 *10^-6 - (-5 *10^-6))/(2 * 8.854 *10^-12)

electric field between left and middle sheet = 5.65 *10^5 N/C

c)

between right and middle sheet , for the electric field

electric field between right and middle sheet = (5 *10^-6 - 5 *10^-6 + 5 *10^-6 - (-5 *10^-6))/(2 * 8.854 *10^-12)

electric field between right and middle sheet = 5.65 *10^5 N/C

d)

for the charge densities

the right side of metal sheet will acquire 5 *10^-6 C/m^2

and the left side will acquire - 5 *10^-6 C/m^2

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